Question

The company installing the new in-ground pool in your backyard has provided You with a scale drawing shown below. If the drawing uses a scale of 1 inch to 1 3/4 feet, calculate the total amount of two-dimensional space needed for the pool and its surrounding patio.

Answer 1

Answer:

The total amount of two-dimensional space needed for the pool and its surrounding is 780 feet².

Step-by-step explanation:

Consider the provided information.

The drawing uses a scale of 1 inch to 1 3/4 feet.

Now consider the figure shown.

The length and  Width of the rectangle is $22\frac{2}{7}$ inch and $11\frac{3}{7}$ inch.

$22\frac{2}{7}=\frac{156}{7}$

$11\frac{3}{7}=\frac{80}{7}$

First convert the length and width from inches to feet.

$1\ inch=1\frac{3}{4}\ feet$

$1\ inch=\frac{7}{4}\ feet$

Multiply both the sides by $\frac{156}{7}$

$\frac{156}{7}\ inch=\frac{156}{7}\times \frac{7}{4}\ feet$

$\frac{156}{7}\ inch=39\ feet$

Now convert $\frac{80}{7}$ into feet.

$\frac{80}{7}\ inch=\frac{80}{7}\times \frac{7}{4}\ feet$

$\frac{80}{7}\ inch=20\ feet$

Now find the area of rectangle using the formula. $A=l\times w$

$A=39\times 20$

$A=780$

Hence, the total amount of two-dimensional space needed for the pool and its surrounding is 780 feet².